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Finding the Fourth Proportional to 411.52, 614.33 and 384.22

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Solution

The fourth proportional to 411.52, 614.33 and 384.22 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.52 : 614.33 = 384.22 : x
  2. Step 2: Convert to fraction form
    411.52/614.33 = 384.22/x
  3. Step 3: Cross multiply
    411.52x = 614.33 × 384.22
  4. Step 4: Simplify right side
    411.52x = 236,037.87
  5. Step 5: Solve for x
    x = 236,037.87/411.52
  6. Step 6: Final answer
    x = 573.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.